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Finding the Fourth Proportional to 573.79, 862.59 and 471.83

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Solution

The fourth proportional to 573.79, 862.59 and 471.83 is: 709.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.79 : 862.59 = 471.83 : x
  2. Step 2: Convert to fraction form
    573.79/862.59 = 471.83/x
  3. Step 3: Cross multiply
    573.79x = 862.59 × 471.83
  4. Step 4: Simplify right side
    573.79x = 406,995.84
  5. Step 5: Solve for x
    x = 406,995.84/573.79
  6. Step 6: Final answer
    x = 709.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.